Sentence examples for mathematical statement of from inspiring English sources

First, the theoretical preliminaries necessary for the mathematical statement of the problem are defined.

The mathematical statement of the problem is reduced to the expansion of a given function into Fourier series on a non-orthonormal basis.

This paper's theory for quantifying infiltration relies on the mathematical statement of the coupled partial differential equations (pdes) governing infiltration and runoff.

In the section 'Mathematical statement of problem,' we introduce the application of the proposed method.

Clausius's definition of entropy led directly to a mathematical statement of the second law of thermodynamics (Klein 1910): dS dt ?

Thus, the mathematical statement of the problem includes the following relations: Constitutive equations (6); Geometrical relations: chi =frac{partial varTheta }{partial s}, (7).

which are mathematical statements of the transmission of information between the elements in RTK signaling.

For even if there are mathematical objects, referential and quantificational indeterminacy may deprive mathematical statements of a unique and objective truth-value.

It is expressed in terms of probability – a mathematical statement about the probability of an occurrence (Miller, 1995).

The mathematical statement and the solution of the problem are obtained using the theory of superposition of large strains.

k Thompson himself states in On Growth and Form: "My sole purpose is to correlate with mathematical statement and physical law certain of the simpler outward phenomena of organic growth and structure or form, while all the while regarding the fabric of the organism, ex hypothesi, as a material and mechanical configuration.